World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
55
Citations
26634
World Ranking
765
National Ranking
37

Holger Kantz publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Holger Kantz sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 292 publications — 85th percentile

85% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Holger Kantz D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Holger Kantz sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 55 D-Index — 79th percentile

79% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Holger Kantz is affiliated with the Max Planck Institute for the Physics of Complex Systems in Germany. Their research spans several interconnected scientific domains with a focus on complex systems, environmental science, and statistical physics.

Kantz has contributed extensively to the study of complex systems and time series analysis, which is a prominent theme across their work. Additional main research topics include climate variability and models, meteorological phenomena and simulations, ecosystem dynamics and resilience, stochastic dynamics and bifurcation, financial risk and volatility modeling, and diffusion and search dynamics.

Their publication record features contributions to numerous fields of study, particularly within environmental science. Subfields where Kantz has published markedly include global and planetary change, statistical and nonlinear physics, atmospheric science, economics and econometrics, and electrical and electronic engineering.

Frequent publication venues for Kantz's work include:

  • arXiv (Cornell University)
  • Physical Review E
  • Chaos An Interdisciplinary Journal of Nonlinear Science
  • Physical Review Research
  • New Journal of Physics

Their recent papers cover a range of topics relevant to fractional Brownian motion, electricity consumption dynamics, and power grid frequency behavior. Notable recent publications include:

  • "Time averaging and emerging nonergodicity upon resetting of fractional Brownian motion and heterogeneous diffusion processes" (2021, Physical Review E)
  • "Data-driven load profiles and the dynamics of residential electricity consumption" (2022, Nature Communications)
  • "Data-Driven Model of the Power-Grid Frequency Dynamics" (2020, IEEE Access)
  • "Stochastic properties of the frequency dynamics in real and synthetic power grids" (2020, Physical Review Research)
  • "On the Motion of Substance in a Channel of a Network: Extended Model and New Classes of Probability Distributions" (2020, Entropy)

Kantz has collaborated frequently with several researchers over multiple publications. Prominent coauthors include Ralf Metzler, Maryam Zamani, Philipp G. Meyer, Aleksei V. Chechkin, and E. Estevez-Rams.

Their multidisciplinary research addresses both theoretical and applied aspects across physics, environmental science, and engineering, with a special emphasis on the dynamics of complex systems in natural and technological contexts.

Best Publications

  • Nonlinear time series analysis

    Holger Kantz;Thomas Schreiber

  • Practical implementation of nonlinear time series methods: The TISEAN package.

    Rainer Hegger;Holger Kantz;Thomas Schreiber

  • A robust method to estimate the maximal Lyapunov exponent of a time series

    Holger Kantz

  • Analysing the information flow between financial time series . An improved estimator for transfer entropy

    R. Marschinski;H. Kantz

  • Repellers, semi-attractors, and long-lived chaotic transients

    H. Kantz;P. Grassberger

  • On noise reduction methods for chaotic data.

    Peter Grassberger;Rainer Hegger;Holger Kantz;Carsten Schaffrath

  • Extreme Events in Nature and Society

    Sergio Albeverio;Volker Jentsch;Holger Kantz

  • Nonlinear time-series analysis revisited

    Elizabeth Bradley;Holger Kantz

  • Identifying and Modeling Delay Feedback Systems.

    Rainer Hegger;Martin J. Bünner;Holger Kantz;Antonino Giaquinta

  • Nonlinear Analysis of Physiological Data

    Holger Kantz;J. Kurths;Gottfried Mayer-Kress

  • Recurrence time analysis, long-term correlations, and extreme events.

    Eduardo G. Altmann;Holger Kantz

  • Generating partitions for the dissipative Hénon map

    Peter Grassberger;Holger Kantz

  • Modified method of simplest equation and its application to nonlinear PDEs

    Nikolay K. Vitanov;Zlatinka I. Dimitrova;Holger Kantz

  • Indispensable finite time corrections for Fokker-Planck equations from time series data.

    Mario Ragwitz;Holger Kantz

  • Chaos or Noise - Difficulties of a Distinction

    M. Cencini;M. Falcioni;E. Olbrich;H. Kantz

  • Markov models from data by simple nonlinear time series predictors in delay embedding spaces.

    Mario Ragwitz;Holger Kantz

  • On the symbolic dynamics of the Henon map

    P Grassberger;H Kantz;U Moenig

  • Markov chain model for turbulent wind speed data

    Holger Kantz;Detlef Holstein;Mario Ragwitz;Nikolay K. Vitanov

  • Improved false nearest neighbor method to detect determinism in time series data.

    Rainer Hegger;Holger Kantz

  • Return interval distribution of extreme events and long-term memory.

    M. S. Santhanam;Holger Kantz

Frequent Co-Authors

Nikolay K. Vitanov
Nikolay K. Vitanov Bulgarian Academy of Sciences
Ralf Metzler
Ralf Metzler University of Potsdam
Peter Grassberger
Peter Grassberger Forschungszentrum Jülich
Antonio Politi
Antonio Politi University of Aberdeen
Jürgen Kurths
Jürgen Kurths Potsdam Institute for Climate Impact Research
Peter Hänggi
Peter Hänggi University of Augsburg
Dirk Helbing
Dirk Helbing ETH Zurich
Igor M. Sokolov
Igor M. Sokolov Tufts University
Celso Grebogi
Celso Grebogi University of Aberdeen
Christian Rödenbeck
Christian Rödenbeck Max Planck Institute for Biogeochemistry

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